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• W3162493173 abstract "We prove existence and uniqueness of a random field solution (u(t,x);(t,x)∈[0,T]×Rd) to a stochastic wave equation in dimensions d=1,2,3 with diffusion and drift coefficients of the form |z|(ln+(|z|))a for some a>0. The proof relies on a sharp analysis of moment estimates of time and space increments of the corresponding stochastic wave equation with globally Lipschitz coefficients. We give examples of spatially correlated Gaussian driving noises where the results apply." @default.
• W3162493173 created "2021-05-24" @default.
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• W3162493173 date "2021-09-01" @default.
• W3162493173 modified "2023-09-30" @default.
• W3162493173 title "Global solutions to stochastic wave equations with superlinear coefficients" @default.
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• W3162493173 doi "https://doi.org/10.1016/j.spa.2021.05.002" @default.
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